MCQOPTIONS
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MCQOPTIONS
This section includes 49 Mcqs, each offering curated multiple-choice questions to sharpen your General Aptitude knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
If log10 7 = a, then log10 1 is equal to: 70 |
| A. | - (1 + a) |
| B. | (1 + a)-1 |
| C. | a 10 |
| D. | 1 10a |
| Answer» B. (1 + a)-1 | |
| 2. |
If log a + log b = log (a + b), then: b a |
| A. | a + b = 1 |
| B. | a - b = 1 |
| C. | a = b |
| D. | a2 - b2 = 1 |
| Answer» B. a - b = 1 | |
| 3. |
The value of 1 + 1 + 1 is: log3 60 log4 60 log5 60 |
| A. | 0 |
| B. | 1 |
| C. | 5 |
| D. | 60 |
| Answer» C. 5 | |
| 4. |
If logx_x000D_ _x000D_ 9_x000D_ _x000D_ = -_x000D_ 1_x000D_ , then x is equal to:_x000D_ _x000D_ _x000D_ 16_x000D_ 2 |
| A. | -_x000D_ 3_x000D_ _x000D_ _x000D_ 4 |
| B. | 3_x000D_ _x000D_ _x000D_ 4 |
| C. | 81_x000D_ _x000D_ _x000D_ 256 |
| D. | 256_x000D_ _x000D_ _x000D_ 81 |
| Answer» E. | |
| 5. |
log 8 is equal to: log 8 |
| A. | 1 8 |
| B. | 1 4 |
| C. | 1 2 |
| D. | 1 8 |
| Answer» D. 1 8 | |
| 6. |
The number of digits in $${{\text{4}}^9} \times {{\text{5}}^{17}}{\text{,}}$$when expressed in usual form, is - |
| A. | 6 |
| B. | 7 |
| C. | 8 |
| D. | 9 |
| Answer» D. 9 | |
| 7. |
If $$\log 2 = 0.30103,$$the number of digits in $${4^{50}}$$ is - |
| A. | 0 |
| B. | 1 |
| C. | 00 |
| D. | 00 |
| Answer» C. 00 | |
| 8. |
If the logarithm of a number is- 3.153, what are characteristic and mantissa? |
| A. | haracteristic = -4, mantissa = 0.847 |
| B. | haracteristic = -3, mantissa = -0.153 |
| C. | haracteristic = 4, mantissa = -0.847 |
| D. | haracteristic = 3, mantissa = -0.153 |
| Answer» B. haracteristic = -3, mantissa = -0.153 | |
| 9. |
If $$\log 2 = 0.3010\,$$and $$\log 3 = 0.4771,\,$$the value of $${\log _5}512$$= ? |
| A. | 0.87 |
| B. | 0.967 |
| C. | 0.876 |
| D. | 0.912 |
| Answer» D. 0.912 | |
| 10. |
If $${\text{a}} = {\text{lo}}{{\text{g}}_{\text{8}}}\,{\text{225}}$$and $${\text{b = lo}}{{\text{g}}_{\text{2}}}\,{\text{15}},$$then a in terms of b is - |
| A. | $\frac{b}{2}$$ |
| B. | $\frac{{2b}}{3}$$ |
| C. | |
| Answer» C. | |
| 11. |
If $$\log \frac{a}{b} + \log \frac{b}{a} = $$$$\,\log \left( {a + b} \right),$$then - |
| A. | + b = 1 |
| B. | - b = 1 |
| C. | = b |
| D. | 2 - b2 = 1 |
| Answer» B. - b = 1 | |
| 12. |
$$\frac{1}{2}\left( {\log x + \log y} \right)$$will equal to $$\log \left( {\frac{{x + y}}{2}} \right)$$if - |
| A. | = 0 |
| B. | = $$\sqrt {\text{y}} $$ |
| C. | = y |
| D. | = $$\frac{{\text{y}}}{2}$$ |
| Answer» D. = $$\frac{{\text{y}}}{2}$$ | |
| 13. |
If $$a = {b^2} = {c^3} = {d^4},$$then the value of$${\log _a}\left( {abcd} \right)$$would be - |
| A. | ${\log _a}1 + {\log _a}2 + {\log _a}3 + {\log _a}4$$ |
| B. | ${\log _a}24$$ |
| C. | ${\text{1 + }}\frac{1}{2} + \frac{1}{3} + \frac{1}{4}$$ |
| D. | ${\text{1 + }}\frac{1}{{2!}} + \frac{1}{{3!}} + \frac{1}{{4!}}$$ |
| Answer» D. ${\text{1 + }}\frac{1}{{2!}} + \frac{1}{{3!}} + \frac{1}{{4!}}$$ | |
| 14. |
If $$\log x - 5\log 3 =- 2,$$then x equals - |
| A. | 0.8 |
| B. | 0.81 |
| C. | 0.25 |
| D. | 0.43 |
| Answer» E. | |
| 15. |
If $${\log _{10}}7 = a,$$then $${\log _{10}}\left( {\frac{1}{{70}}} \right)$$is equal to - |
| A. | (1 + a) |
| B. | 1 + a)-1 |
| C. | $\frac{a}{{10}}$$ |
| D. | $\frac{1}{{10a}}$$ |
| Answer» B. 1 + a)-1 | |
| 16. |
If $${\log _{10}}2 = a$$and $${\log _{10}}3 = b,$$then $${\log _5}12$$ = ? |
| A. | $\frac{{a + b}}{{1 + a}}$$ |
| B. | $\frac{{2a + b}}{{1 + a}}$$ |
| C. | $\frac{{a + 2b}}{{1 + a}}$$ |
| D. | $\frac{{2a + b}}{{1 - a}}$$ |
| Answer» E. | |
| 17. |
If $${\log _a}\left( {ab} \right) = x{\text{,}}\,$$then $${\log _b}\left( {ab} \right)$$is - |
| A. | $\frac{1}{x}$$ |
| B. | $\frac{x}{{x + 1}}$$ |
| C. | $\frac{x}{{1 - x}}$$ |
| D. | $\frac{x}{{x - 1}}$$ |
| Answer» E. | |
| 18. |
$$\frac{{\log \sqrt 8 }}{{\log 8}}\,\,{\text{is equal to= ?}}$$ |
| A. | $\frac{1}{{\sqrt 8 }}$$ |
| B. | $\frac{1}{4}$$ |
| C. | $\frac{1}{2}$$ |
| D. | $\frac{1}{8}$$ |
| Answer» D. $\frac{1}{8}$$ | |
| 19. |
If $${\log _{10000}}x =- \frac{1}{4}{\text{,}}$$then the value of x is = ? |
| A. | $\frac{1}{{10}}$$ |
| B. | $\frac{1}{{100}}$$ |
| C. | $\frac{1}{{1000}}$$ |
| D. | $\frac{1}{{10000}}$$ |
| Answer» B. $\frac{1}{{100}}$$ | |
| 20. |
If $${\text{lo}}{{\text{g}}_8}{\text{p}} = 25$$and $${\text{lo}}{{\text{g}}_2}{\text{q}} = 5,$$then - |
| A. | = q15 |
| B. | 2 = q3 |
| C. | = q5 |
| D. | 3 = q |
| Answer» B. 2 = q3 | |
| 21. |
The value of $${\text{lo}}{{\text{g}}_{10}}\left( {0.0001} \right)$$is = ? |
| A. | $\frac{1}{4}$$ |
| B. | $ - \frac{1}{4}$$ |
| C. | $ - 4$$ |
| D. | $4$$ |
| Answer» D. $4$$ | |
| 22. |
If ax = by, then: |
| A. | $\log \frac{a}{b} = \frac{x}{y}$$ |
| B. | $\frac{{\log a}}{{\log b}} = \frac{x}{y}$$ |
| C. | $\frac{{\log a}}{{\log b}} = \frac{y}{x}$$ |
| D. | one of these |
| Answer» D. one of these | |
| 23. |
If $${\log _x}\left( {\frac{9}{{16}}} \right) =- \frac{1}{2},$$then x is equal to: |
| A. | $ - \frac{3}{4}$$ |
| B. | $\frac{3}{4}$$ |
| C. | $\frac{{81}}{{256}}$$ |
| D. | $\frac{{256}}{{81}}$$ |
| Answer» E. | |
| 24. |
If log10 2 = 0.3010, then log2 10 is equal to: |
| A. | $\frac{{699}}{{301}}$$ |
| B. | $\frac{{1000}}{{301}}$$ |
| C. | 0.301 |
| D. | 0.699 |
| Answer» C. 0.301 | |
| 25. |
If $${\log _{10}}7 = a,$$then $${\log _{10}}\left( {\frac{1}{{70}}} \right)$$is equal to |
| A. | (1 + a) |
| B. | 1 + a)-1 |
| C. | $\frac{a}{10}$$ |
| D. | $\frac{1}{10a}$$ |
| Answer» B. 1 + a)-1 | |
| 26. |
If $${\log _{10}}a = p,$$$${\log _{10}}b = q,$$then what is $${\log _{10}}\left( {{a^p}{b^q}} \right)$$equal to? |
| A. | 2 + q2 |
| B. | 2 - q2 |
| C. | 2q2 |
| D. | $\frac{{{p^2}}}{{{q^2}}}$$ |
| Answer» B. 2 - q2 | |
| 27. |
If $$\log 3\log \left( {{3^x} - 2} \right)\,$$and $$\log \left( {{3^x} + 4} \right)$$are in arithmetic progression, then x is equal to |
| A. | $\frac{8}{3}$$ |
| B. | $\log {3^8}$$ |
| C. | $\log {2^3}$$ |
| Answer» D. | |
| 28. |
$${\text{If}}\,{\text{log}}\frac{a}{b} + {\text{log}}\frac{b}{a} = {\text{log}}(a + b),$$then: |
| A. | + b = 1 |
| B. | - b = 1 |
| C. | = b |
| D. | 2 - b2 = 1 |
| Answer» B. - b = 1 | |
| 29. |
$${{\log \sqrt 8 } \over {\log 8}}$$is equal to: |
| A. | $\frac{1}{6}$$ |
| B. | $\frac{1}{4}$$ |
| C. | $\frac{1}{2}$$ |
| D. | $\frac{1}{8}$$ |
| Answer» D. $\frac{1}{8}$$ | |
| 30. |
If log 2 = 0.30103, the number of digits in 2^64 is: |
| A. | 18 |
| B. | 19 |
| C. | 20 |
| D. | 21 |
| Answer» D. 21 | |
| 31. |
If log10 2 = 0.3010, the value of log10 80 is: |
| A. | 1.6020 |
| B. | 1.9030 |
| C. | 3.9030 |
| D. | None of these |
| Answer» C. 3.9030 | |
| 32. |
If logx y = 100 and log2 x = 10, then the value of y is: |
| A. | 2^10 |
| B. | 2^100 |
| C. | 2^1000 |
| D. | 2^10000 |
| Answer» D. 2^10000 | |
| 33. |
The value of log2 16 is: |
| A. | 18 |
| B. | 4 |
| C. | 8 |
| D. | 16 |
| Answer» C. 8 | |
| 34. |
If log10 7 = a, then log10 (1/70) is equal to: |
| A. | - (1 + a) |
| B. | (1 + a)-1 |
| C. | a10 |
| D. | 110a |
| Answer» B. (1 + a)-1 | |
| 35. |
If log 27 = 1.431, then the value of log 9 is: |
| A. | 0.934 |
| B. | 0.945 |
| C. | 0.954 |
| D. | 0.958 |
| Answer» D. 0.958 | |
| 36. |
Which of the following statements is not correct? |
| A. | log10 10 = 1 |
| B. | log (2 + 3) = log (2 x 3) |
| C. | log10 1 = 0 |
| D. | log (1 + 2 + 3) = log 1 + log 2 + log 3 |
| Answer» C. log10 1 = 0 | |
| 37. |
If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is: |
| A. | 2.870 |
| B. | 2.967 |
| C. | 3.876 |
| D. | 3.912 |
| Answer» D. 3.912 | |
| 38. |
If log (a/b) + log (b/a) = log (a + b), then: |
| A. | a + b = 1 |
| B. | a - b = 1 |
| C. | a = b |
| D. | a^2 - b^2 = 1 |
| Answer» B. a - b = 1 | |
| 39. |
If log10 5 + log10 (5x + 1) = log10 (x + 5) + 1, then x is equal to: |
| A. | 1 |
| B. | 3 |
| C. | 5 |
| D. | 10 |
| Answer» C. 5 | |
| 40. |
The value of 1 + 1 + 1 is: log3 60 log4 60 log5 60 |
| A. | 0 |
| B. | 1 |
| C. | 5 |
| D. | 60 |
| Answer» C. 5 | |
| 41. |
If log 2 = 0.30103, the number of digits in 264 is: |
| A. | 18 |
| B. | 19 |
| C. | 20 |
| D. | 21 |
| Answer» D. 21 | |
| 42. |
|
|
| A. | 18 | |
| B. | 19 | |
| C. | 20 | |
| D. | 21 | |
| Answer» e. | ||
| 43. |
If log10 5 + log10 (5x + 1) = log10 (x + 5) + 1, then x is equal to: |
| A. | 1 |
| B. | 3 |
| C. | 5 |
| D. | 10 |
| Answer» C. 5 | |
| 44. |
If log10 2 = 0.3010, the value of log10 80 is: |
| A. | 1.6020 |
| B. | 1.9030 |
| C. | 3.9030 |
| D. | None of these |
| Answer» C. 3.9030 | |
| 45. |
If log10 2 = 0.3010, then log2 10 is equal to: |
| A. | 699 /301 |
| B. | 1000/ 301 |
| C. | 0.3010 |
| D. | 0.6990 |
| Answer» C. 0.3010 | |
| 46. |
If log 27 = 1.431, then the value of log 9 is: |
| A. | 0.934 |
| B. | 0.945 |
| C. | 0.954 |
| D. | 0.958 |
| Answer» D. 0.958 | |
| 47. |
|
|
| A. | 2.870 | |
| B. | 2.967 | |
| C. | 3.876 | |
| D. | 3.912 | |
| Answer» D. 3.912 | ||
| 48. |
|
||
| A. | log10 10 = 1 | ||
| B. | log (2 + 3) = log (2 x 3) | ||
| C. | log10 1 = 0 | ||
| D. | log (1 + 2 + 3) = log 1 + log 2 + log 3 | ||
| Answer» C. log10 1 = 0 | |||
| 49. |
|
|
| A. | 0.934 | |
| B. | 0.945 | |
| C. | 0.954 | |
| D. | 0.958 | |
| Answer» D. 0.958 | ||